378928368 has 480 divisors, whose sum is σ = 1460531520. Its totient is φ = 94058496.

The previous prime is 378928339. The next prime is 378928391. The reversal of 378928368 is 863829873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22289896 + ... + 22289912.

It is an arithmetic number, because the mean of its divisors is an integer number (3042774).

Almost surely, 2^378928368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378928368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730265760).

378928368 is an abundant number, since it is smaller than the sum of its proper divisors (1081603152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378928368 is a wasteful number, since it uses less digits than its factorization.

378928368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 378928368 is about 19466.0825026506. The cubic root of 378928368 is about 723.6341262586.

The spelling of 378928368 in words is "three hundred seventy-eight million, nine hundred twenty-eight thousand, three hundred sixty-eight".